What is the Greatest Common Factor of 78612 and 78630?

Greatest common factor (GCF) of 78612 and 78630 is 6.

GCF(78612,78630) = 6

We will now calculate the prime factors of 78612 and 78630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78612 and 78630.

How to find the GCF of 78612 and 78630?

We will first find the prime factorization of 78612 and 78630. After we will calculate the factors of 78612 and 78630 and find the biggest common factor number .

Step-1: Prime Factorization of 78612

Prime factors of 78612 are 2, 3, 6551. Prime factorization of 78612 in exponential form is:

78612 = 2² × 3¹ × 6551¹

Step-2: Prime Factorization of 78630

Prime factors of 78630 are 2, 3, 5, 2621. Prime factorization of 78630 in exponential form is:

78630 = 2¹ × 3¹ × 5¹ × 2621¹

Step-3: Factors of 78612

List of positive integer factors of 78612 that divides 78612 without a remainder.

1, 2, 3, 4, 6, 12, 6551, 13102, 19653, 26204, 39306

Step-4: Factors of 78630

List of positive integer factors of 78630 that divides 78612 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2621, 5242, 7863, 13105, 15726, 26210, 39315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78612 and 78630. The biggest common factor number is the GCF number.
So the greatest common factor 78612 and 78630 is 6.

Also check out the Least Common Multiple of 78612 and 78630